An energy model for event-based control of a switched Integrator
Résumé
In this paper we present a method for constructing an approximative stationary energy model of a stochastic switching system while applying event-based control. The main model used is a multi-state integrator with random switching behavior, upon event occurrence, which has been described using a continuous Markov chain. Applying event-based control has been done in the purpose of maintaining the continuous system state variable between extreme boundaries. The sojourn times and the probabilities to hit the limits have also been used for the computation of the average energy consumed during the stationary mode of the Markov chain. Mean times between intermediary stopping points and extreme limits are also provided as well as a quadratic criterion for square deviations from imposed target limits.